Add 49/12 and 35/42
1st number: 4 1/12, 2nd number: 35/42
49/12 + 35/42 is 59/12.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 42 is 84
Next, find the equivalent fraction of both fractional numbers with denominator 84 - For the 1st fraction, since 12 × 7 = 84,
49/12 = 49 × 7/12 × 7 = 343/84 - Likewise, for the 2nd fraction, since 42 × 2 = 84,
35/42 = 35 × 2/42 × 2 = 70/84 - Add the two like fractions:
343/84 + 70/84 = 343 + 70/84 = 413/84 - 413/84 simplified gives 59/12
- So, 49/12 + 35/42 = 59/12
In mixed form: 411/12
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